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Finding the Third Proportional to 3,792.02 and 5,740.98

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Solution

The third proportional to 3,792.02 and 5,740.98 is: 8,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.02 : 5,740.98 = 5,740.98 : x
  2. Step 2: Convert to fraction form
    3,792.02/5,740.98 = 5,740.98/x
  3. Step 3: Cross multiply
    3,792.02x = 5,740.98 × 5,740.98
  4. Step 4: Simplify right side
    3,792.02x = 32,958,856.74
  5. Step 5: Solve for x
    x = 32,958,856.74/3,792.02
  6. Step 6: Final answer
    x = 8,691.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.